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Finding the Third Proportional to 100,635 and 217,035.75

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Solution

The third proportional to 100,635 and 217,035.75 is: 468,072.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,635 : 217,035.75 = 217,035.75 : x
  2. Step 2: Convert to fraction form
    100,635/217,035.75 = 217,035.75/x
  3. Step 3: Cross multiply
    100,635x = 217,035.75 × 217,035.75
  4. Step 4: Simplify right side
    100,635x = 47,104,516,778.06
  5. Step 5: Solve for x
    x = 47,104,516,778.06/100,635
  6. Step 6: Final answer
    x = 468,072.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.